Use the scenario to answer the question.(20 Coins) Bryan is asked to find the interquartile range for the data set {5,6,6,8,10,11,14,16,17}.

His work follows.

Step A: Find the median of the data set. The median, or Q2

, is 10.

Step B: Find the value of Q1

, or the median of the lower half of the data set, {5,6,6,8}.

Q1=6+62=6

Step C: Find the value of Q3, or the median of the upper half of the data set, {11,14,16,17}.

Q3=14+162=15

Step D: Find the difference between Q3

and Q1

.

IQR=15−6=9

At which step did Bryan make a mistake, if he made one?

At Step D, he incorrectly found the IQR. He should have found the difference between each quartile to get 10−6=4

and 15−10=5.

At Step C, he incorrectly found the value of Q3

. He should have included 10 to get Q3=14.

At Step B, he incorrectly found the value of Q1

. He should have found the sum of the values and then divided by 4 to get Q1=6.25.

He did not make a mistake.

At Step A, he incorrectly found the value of the median. He should not have included both 6

values, so the median is 10+112=10.5.